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Chapter 12 Capital Budgeting Decisions Payback Period and NPV: Taxes and Straigh

ID: 2582026 • Letter: C

Question

Chapter 12 Capital Budgeting Decisions Payback Period and NPV: Taxes and Straight-Line Depreciation Assume that United Technologies Corporation is evaluating a proposal to change the company's manual design system to a computer-aided design (CAD) system. The proposed system is expected to save 13,500 design hours per year, an operating cost savings of $$5 per hour. The annual cash es penditures of operating the CAD system are estimated to be $300,000. The CAD system requires an initial investment of $750,000. The estimated life of this system is five years with no salvage value. The tax rate is 35 percent, and United Technologies uses straight-line depreciation for tax purposes United Technologies has a cost of capital of 14 percent. Required a. Compute the annual after-tax cash flows related to the CAD project. b. Compute each of the following for the project: L02, 3, 6 P12-31. ted Tochnologies Corporation UTX) MBC 1. Payback period. 2. Net present value.

Explanation / Answer

Solution:

a.

Operating cost savings (13,500 hours ´ $55)                                   $742,500
Operating costs of CAD/CAM system                                              (300,000)

Before-tax cash savings 442,500
Income taxes without tax shield at 35 percent (154,875)
Depreciation tax shield [($750,000/5 years) ´ 0.35]    52,500

Relevant annual after-tax cash flows $340,125

b.

1. Initial investment / Annual operating cost savings   =   Payback period

         $750,000 /               $340,125 = 2.205 years

2. Present value of after-tax cash flows ($340,125 ´ 3.433)   $1,167,677
    Initial investment                                                                 (750,000)

    Net present value                                                                $417,677

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